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Colesanti A, Ludwig M, Mussnig F. Minkowski valuations on convex functions. Calc Var Partial Differ Equ. 2017;56(6):162doi: 10.1007/s00526-017-1243-4.
Colesanti, A., Ludwig, M., & Mussnig, F. (2017). Minkowski valuations on convex functions. Calculus of variations and partial differential equations, 56(6), 162. https://doi.org/10.1007/s00526-017-1243-4
Colesanti, Andrea, et al. "Minkowski valuations on convex functions." Calculus of variations and partial differential equations vol. 56,6 (2017): 162. doi: https://doi.org/10.1007/s00526-017-1243-4
Colesanti A, Ludwig M, Mussnig F. Minkowski valuations on convex functions. Calc Var Partial Differ Equ. 2017;56(6):162. doi: 10.1007/s00526-017-1243-4. Epub 2017 Oct 23. PMID: 29104373; PMCID: PMC5653878.
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Calc Var Partial Differ Equ. 2017;56(6):162. doi: 10.1007/s00526-017-1243-4. Epub 2017 Oct 23.

Minkowski valuations on convex functions.

Calculus of variations and partial differential equations

Andrea Colesanti, Monika Ludwig, Fabian Mussnig

Affiliations

  1. Dipartimento di Matematica e Informatica "U. Dini", Università degli Studi di Firenze, Viale Morgagni 67/A, 50134 Florence, Italy.
  2. Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Wiedner Hauptstraße 8-10/1046, 1040 Wien, Austria.

PMID: 29104373 PMCID: PMC5653878 DOI: 10.1007/s00526-017-1243-4

Abstract

A classification of [Formula: see text] contravariant Minkowski valuations on convex functions and a characterization of the projection body operator are established. The associated LYZ measure is characterized. In addition, a new [Formula: see text] covariant Minkowski valuation on convex functions is defined and characterized.

Keywords: 52B45 (26B25, 46B20, 46E35, 52A21, 52A41)

References

  1. J Funct Anal. 2013 Oct 15;265(8):1728-1748 - PubMed

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